Where do I get the detailed procedure to find GCD of 180, 148, 470?

You can find a detailed procedure to find GCD of 180, 148, 470 on our page.

How to find GCD of 180, 148, 470 on a calculator?

You can find the GCD of 180, 148, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 180, 148, 470 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 180, 148, 470 quickly. Get the easiest ways to solve the greatest common divisor of 180, 148, 470 i.e 2 in different methods as follows.

How to Find GCD of Numbers 180, 148, 470 with Factoring?

Given Input numbers are 180, 148, 470

In the factoring method, we have to find the divisors of all numbers

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (180, 148, 470) = 2.

Find GCD of 180, 148, 470 using Prime Factorization

Given numbers are 180, 148, 470

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 148 are 2 x 2 x 37

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 180, 148, 470 is 2.

Steps to Calculate GCD of 180, 148, 470 using LCM Formula

Given numbers are 180, 148, 470

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(180, 148) = 6660

GCD(180, 148) = ( 180 x 148 ) / 6660

= 180 / 148

= 180

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

So, Greatest Common Divisor of 180, 148, 470 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 180, 148, 470

Given numbers are 180, 148, 470
The greatest common divisor of numbers 180, 148, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 148, 470 is 2.

FAQs on GCD of 180, 148, 470 Calculator

1. What is the GCD of 180, 148, 470?

GCD of given numbers 180, 148, 470 is 2

2. How to calculate the greatest common divisor of 180, 148, 470?

We can find the highest common divisor of 180, 148, 470 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 148, 470 i.e 2.

3. How can I use the GCD of 180, 148, 470Calculator?

Out the numbers 180, 148, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.